3x+2=-5x+6

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Solution for 3x+2=-5x+6 equation: 


Simplifying
3x + 2 = -5x + 6

Reorder the terms:
2 + 3x = -5x + 6

Reorder the terms:
2 + 3x = 6 + -5x

Solving
2 + 3x = 6 + -5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5x' to each side of the equation.
2 + 3x + 5x = 6 + -5x + 5x

Combine like terms: 3x + 5x = 8x
2 + 8x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 8x = 6 + 0
2 + 8x = 6

Add '-2' to each side of the equation.
2 + -2 + 8x = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 8x = 6 + -2
8x = 6 + -2

Combine like terms: 6 + -2 = 4
8x = 4

Divide each side by '8'.
x = 0.5

Simplifying
x = 0.5

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